Question 1

The graph of y = f(x) is shown. Use the graph to answer the question.
-Is f continuous at x = 0?

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes B

Question 2

Solve the problem.
-Suppose an object moves along the y-axis so that its location is   at time x (y is in meters and x is in seconds). Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to 9 seconds.

Accepted Answer

A)  84m/s 
B)  12m/s 
C)  15m/s 
D)  3m/s 
A)  84m/s 
B)  12m/s 
C)  15m/s 
D)  3m/s B

Question 3

Solve the problem.
-A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is given by:
c(x)=   0 ≤ x ≤ 100
Find the marginal cost at a production level of 70 dozen pens and interpret the result.

Accepted Answer

A)  The marginal cost is $0.60/doz. The cost of producing 1 dozen more pens at a production level of 70 dozen
pens is approximately $0.60. 
B)  The marginal cost is $0.59/doz. The cost of producing 1 dozen more pens at a production level of 70 dozen
pens is approximately $0.59. 
C)  The marginal cost is $0.62/doz. The cost of producing 1 dozen more pens at a production level of 70 dozen
pens is approximately $0.62. 
D)  The marginal cost is $0.58/doz. The cost of producing 1 dozen more pens at a production level of 70 dozen
pens is approximately $0.58. 
A)  The marginal cost is $0.60/doz. The cost of producing 1 dozen more pens at a production level of 70 dozen
pens is approximately $0.60. 
B)  The marginal cost is $0.59/doz. The cost of producing 1 dozen more pens at a production level of 70 dozen
pens is approximately $0.59. 
C)  The marginal cost is $0.62/doz. The cost of producing 1 dozen more pens at a production level of 70 dozen
pens is approximately $0.62. 
D)  The marginal cost is $0.58/doz. The cost of producing 1 dozen more pens at a production level of 70 dozen
pens is approximately $0.58. A

Question 4

Provide an appropriate response.
-Given f(x + h) - f(x) = 4xh + 4h + 2h2, find the slope of the tangent line at x = 4.

Accepted Answer

A) 20 
B) 8 
C) 22 
D) 16 
A) 20 
B) 8 
C) 22 
D) 16

Question 5

Sketch a possible graph of a function that satisfies the given conditions.
-f(0) = -3 and

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 6

Provide an appropriate response.
-Let f and g be functions that satisfy f'(4)= 2 and g'(4)= -3.Find h'(4)for h(x)= 3f(x)- g(x)+ 2.

Accepted Answer

A) 5 
B) 2 
C) 11 
D) 9 
A) 5 
B) 2 
C) 11 
D) 9

Question 7

List the x-values in the graph at which the function is not differentiable.
-

Accepted Answer

A) x = 2 
B) x = 0 
C) x = 1 
D) x = -1 
A) x = 2 
B) x = 0 
C) x = 1 
D) x = -1

Question 8

Provide an appropriate response.
-Use a sign chart to solve the inequality. Express answers in interval notation.

Accepted Answer

A)    
B)    
C)    
D)  (-4, 4) 
A)    
B)    
C)    
D)  (-4, 4)

Question 9

Provide an appropriate response.
-Find the equation of the tangent line at x = 2 for   Write the answer in the form y =mx+b.

Accepted Answer

A)  y=-43x+48 
B)  y=-47x +68 
C)  y=-43x +60 
D)  y=-39x +52 
A)  y=-43x+48 
B)  y=-47x +68 
C)  y=-43x +60 
D)  y=-39x +52

Question 10

Solve the problem.
-According to one theory of learning,the number of items,w(t),that a person can learn after t hours of instruction is given by:   0 ≤ t ≤ 64 Find the rate of learning at the end of eight hours of instruction.

Accepted Answer

A) 20 items per hour 
B) 60 items per hour 
C) 5 items per hour 
D) 45 items per hour 
A) 20 items per hour 
B) 60 items per hour 
C) 5 items per hour 
D) 45 items per hour

Question 11

Solve the problem.
-The cost of renting a snowblower is $20 for the first hour (or any fraction thereof)and $5 for each additional hour (or fraction thereof)up to a maximum rental time of 5 hours.Write a piecewise definition of the cost C(x)of renting a snowblower for x hours.Is C(x)continuous at x = 2.5?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Find the limit.
-Determine the limit.

Accepted Answer

A) -2 
B) ∞ 
C) -∞ 
D) 5 
A) -2 
B) ∞ 
C) -∞ 
D) 5

Question 13

Provide an appropriate response.
-Find the slope of the secant line joining (2, f(2)) and (3, f(3)) for f(x) = -3x2 - 8.

Accepted Answer

A) -55 
B) 15 
C) -15 
D) 55 
A) -55 
B) 15 
C) -15 
D) 55

Question 14

The graph of y = f(x) is shown. Use the graph to answer the question.
-Is f continuous at x = -0.5?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 15

Provide an appropriate response.
-Find f'(x) if f(x) =

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

The graph of y = f(x) is shown. Use the graph to answer the question.
-Is f continuous at x = 0?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 17

Find the limit, if it exists
-Find:

Accepted Answer

A) -1 
B) 1 
C) 0 
D) Does not exist 
A) -1 
B) 1 
C) 0 
D) Does not exist

Question 18

Provide an appropriate response.
-Evaluate dy and    for y = f(x) = 20+  x = 2, and dx =   = 0.3.

Accepted Answer

A)  dy = 14.4;   = 14.4 
B)   dy = 14.4;  =15.183 
C)  dy=  = 5.183;  =15.183 
D)  dy=  = 5.183;   =14.4 
A)  dy = 14.4;   = 14.4 
B)   dy = 14.4;  =15.183 
C)  dy=  = 5.183;  =15.183 
D)  dy=  = 5.183;   =14.4

Question 19

Solve the problem.
-The cost of manufacturing a particular videotape is C(x) = 9000 + 9x, where x is the number of tapes produced. The average cost per tape, denoted by   , is found by dividing C(x) by x. Find

Accepted Answer

A) 14 
B) 10 
C) 6 
D) Does not exist 
A) 14 
B) 10 
C) 6 
D) Does not exist

Question 20

List the x-values in the graph at which the function is not differentiable.
-

Accepted Answer

A) x = -2,x = 2 
B) x = -3,x = 0,x = 3 
C) x = -3,x = 3 
D) x = -2,x = 0,x = 2 
A) x = -2,x = 2 
B) x = -3,x = 0,x = 3 
C) x = -3,x = 3 
D) x = -2,x = 0,x = 2

The graph of y = f(x) is shown. Use the graph to answer the question. -Is f continuous at x = 0?

Solve the problem. -Suppose an object moves along the y-axis so that its location is at time x (y is in meters and x is in seconds). Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to 9 seconds.

Solve the problem. -A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is given by: c(x)= 0 ≤ x ≤ 100 Find the marginal cost at a production level of 70 dozen pens and interpret the result.

Provide an appropriate response. -Given f(x + h) - f(x) = 4xh + 4h + 2h², find the slope of the tangent line at x = 4.

Sketch a possible graph of a function that satisfies the given conditions. -f(0) = -3 and

Provide an appropriate response. -Let f and g be functions that satisfy f'(4)= 2 and g'(4)= -3.Find h'(4)for h(x)= 3f(x)- g(x)+ 2.

List the x-values in the graph at which the function is not differentiable. -

Provide an appropriate response. -Use a sign chart to solve the inequality. Express answers in interval notation.

Provide an appropriate response. -Find the equation of the tangent line at x = 2 for Write the answer in the form y =mx+b.

Solve the problem. -According to one theory of learning,the number of items,w(t),that a person can learn after t hours of instruction is given by: 0 ≤ t ≤ 64 Find the rate of learning at the end of eight hours of instruction.

Find the limit. -Determine the limit.

Provide an appropriate response. -Find the slope of the secant line joining (2, f(2)) and (3, f(3)) for f(x) = -3x² - 8.

The graph of y = f(x) is shown. Use the graph to answer the question. -Is f continuous at x = -0.5?

Provide an appropriate response. -Find f'(x) if f(x) =

The graph of y = f(x) is shown. Use the graph to answer the question. -Is f continuous at x = 0?

Find the limit, if it exists -Find:

Provide an appropriate response. -Evaluate dy and for y = f(x) = 20+ x = 2, and dx = = 0.3.

Solve the problem. -The cost of manufacturing a particular videotape is C(x) = 9000 + 9x, where x is the number of tapes produced. The average cost per tape, denoted by , is found by dividing C(x) by x. Find

List the x-values in the graph at which the function is not differentiable. -

Linear Equations and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Logic, sets, and Counting

Probability

Limits and the Derivative

Mathematical Functions and Limits

Filters

Exam 9: Markov Chains

The graph of y = f(x) is shown. Use the graph to answer the question. -Is f continuous at x = 0?

Solve the problem. -Suppose an object moves along the y-axis so that its location is at time x (y is in meters and x is in seconds). Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to 9 seconds.

Solve the problem. -A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is given by: c(x)= 0 ≤ x ≤ 100 Find the marginal cost at a production level of 70 dozen pens and interpret the result.

Provide an appropriate response. -Given f(x + h) - f(x) = 4xh + 4h + 2h2, find the slope of the tangent line at x = 4.

Sketch a possible graph of a function that satisfies the given conditions. -f(0) = -3 and

Provide an appropriate response. -Let f and g be functions that satisfy f'(4)= 2 and g'(4)= -3.Find h'(4)for h(x)= 3f(x)- g(x)+ 2.

List the x-values in the graph at which the function is not differentiable. -

Provide an appropriate response. -Use a sign chart to solve the inequality. Express answers in interval notation.

Provide an appropriate response. -Find the equation of the tangent line at x = 2 for Write the answer in the form y =mx+b.

Solve the problem. -According to one theory of learning,the number of items,w(t),that a person can learn after t hours of instruction is given by: 0 ≤ t ≤ 64 Find the rate of learning at the end of eight hours of instruction.

Find the limit. -Determine the limit.

Provide an appropriate response. -Find the slope of the secant line joining (2, f(2)) and (3, f(3)) for f(x) = -3x2 - 8.

The graph of y = f(x) is shown. Use the graph to answer the question. -Is f continuous at x = -0.5?

Provide an appropriate response. -Find f'(x) if f(x) =

The graph of y = f(x) is shown. Use the graph to answer the question. -Is f continuous at x = 0?

Find the limit, if it exists -Find:

Provide an appropriate response. -Evaluate dy and for y = f(x) = 20+ x = 2, and dx = = 0.3.

Solve the problem. -The cost of manufacturing a particular videotape is C(x) = 9000 + 9x, where x is the number of tapes produced. The average cost per tape, denoted by , is found by dividing C(x) by x. Find

List the x-values in the graph at which the function is not differentiable. -

Linear Equations and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Logic, sets, and Counting

Probability

Limits and the Derivative

Mathematical Functions and Limits

Filters

Provide an appropriate response. -Given f(x + h) - f(x) = 4xh + 4h + 2h², find the slope of the tangent line at x = 4.

Provide an appropriate response. -Find the slope of the secant line joining (2, f(2)) and (3, f(3)) for f(x) = -3x² - 8.